Comparison of Finite Difference and Finite Volume Method for Numerical Simulation of Driven Cavity Flow Based on MAC

Author

Li Jiangfei ; Jin Long ; Yuan Lian ; Fu Zhizhong ; Li Bo ; Cheng Wenxue

Author_Institution

Beijing Key Lab. of Urban Oil & Gas Distrib. Technol., China Univ. of Pet. Beijing, Beijing, China

fYear

2013

fDate

21-23 June 2013

Firstpage

891

Lastpage

894

Abstract

In this paper, finite difference method and finite volume method are adopted to simulate the two-dimensional lid-driven cavity flow based on MAC with staggered mesh. Second-order central difference scheme is applied to discretize the convection and diffusion items respectively. Simulation results obtained are compared at different Reynolds number (100, 400, 1000) using grid points 20 -- 20, 40 -- 40, 80 -- 80. The overall result shows that MAC has high calculation precision to solve the problem of driven cavity flow.

Keywords

confined flow; convection; diffusion; finite difference methods; finite volume methods; flow simulation; laminar flow; 2D lid-driven cavity flow; MAC; Reynolds number; convection item; diffusion item; driven cavity flow problem; finite difference method; finite volume method; grid points; numerical simulation; second-order central difference scheme; staggered mesh; Cavity resonators; Educational institutions; Equations; Finite difference methods; Finite volume methods; Fluids; Mathematical model; Driven cavity flow; Finite difference; Finite volume; MAC Method; Staggered grid;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational and Information Sciences (ICCIS), 2013 Fifth International Conference on

Conference_Location

Shiyang

Type

conf

DOI

10.1109/ICCIS.2013.239

Filename

6643155